editing disabled

Below are listed rank-two temperaments supported by the 34et patent val or the 34d val (i.e. <34 54 79 96 118 126|), below the indicated cutoff in TE badness.

5-limit temperaments with badness below 0.1

Listed is the wedgie and the TE badness times 1000 for temperaments with badness less than 0.1.
Rank
Wedgie
Name
Badness
Commas
1
<<6 5 -6]]
Hanson
13.234
15625/15552
2
<<2 -4 -11]]
Srutal
19.915
2048/2025
3
<<14 6 -23]]
Vishnu
31.181
6115295232/6103515625
4
<<8 1 -17]]
Würschmidt
40.603
393216/390625
5
<<4 9 5]]
Tetracot
48.518
20000/19683
6
<<34 17 -52]]
Chlorine
77.072
582076609134674072265625/581595589965365114830848
7
<<20 11 -29]]
Gammic
87.752
95367431640625/95105071448064

7-limit patent val temperaments with badness below 0.06

Listed is the wedgie and the TE badness times 1000 for 34edo patent val temperaments with badness less than 0.06.
1
<<6 5 3 -6 -12 -7]]
Keemun
27.408
49/48 126/125
2
<<2 -4 -16 -11 -31 -26]]
Diaschismic
37.914
126/125 2048/2025
3
<<6 5 -31 -6 -66 -86]]
Countercata
52.128
5120/5103 15625/15552

7-limit 34d temperaments with badness below 0.06

Listed is the wedgie and the TE badness times 1000 for 34d temperaments with badness less than 0.06.
1
<<2 -4 -4 -11 -12 2]]
Pajara
20.033
50/49 64/63
2
<<6 5 22 -6 18 37]]
Catakleismic
21.501
225/224 4375/4374
3
<<34 17 170 -52 174 347]]
Chlorine
41.658
4375/4374 193119049072265625/193091834023510016
4
<<14 6 74 -23 78 155]]
Vishnu
41.912
4375/4374 29360128/29296875
5
<<20 11 96 -29 96 192]]
Gammic
47.362
4375/4374 6591796875/6576668672
6
<<8 1 18 -17 6 39]]
Würschmidt
50.776
225/224 8748/8575

11-limit patent val temperaments with badness below 0.05

Listed is the wedgie and the TE badness times 1000 for 34edo patent val temperaments with badness less than 0.05.
1
<<6 5 3 -2 -6 -12 -24 -7 -22 -16]]
Keemun
27.410
49/48 56/55 100/99
2
<<8 1 -13 20 -17 -43 4 -33 43 101]]
Worschmidt
33.436
126/125 243/242 385/384
3
<<4 9 19 10 5 19 2 19 -8 -38]]
Wollemia
37.551
56/55 100/99 243/242
4
<<4 9 -15 10 5 -35 2 -60 -8 80]]
Monkey
38.836
100/99 243/242 385/384
5
<<6 5 -31 32 -6 -66 30 -86 57 197]]
Countercata
39.770
385/384 2200/2187 3388/3375
6
<<2 -4 18 -12 -11 23 -26 53 -14 -96]]
Keen
45.270
100/99 385/384 1232/1215
7
<<12 10 -28 30 -12 -78 6 -93 35 181]]

46.940
243/242 385/384 6250/6237
8
<<2 -4 -16 -12 -11 -31 -26 -26 -14 22]]

48.070
56/55 100/99 2048/2025
9
<<4 -8 2 10 -22 -8 2 27 51 21]]
Anguirus
49.253
49/48 56/55 243/242

11-limit 34d temperaments with badness below 0.05

Listed is the wedgie and the TE badness times 1000 for 34d temperaments with badness less than 0.05.
1
<<14 6 74 52 -23 78 34 155 100 -110]]
Vishnu
14.180
3025/3024 4375/4374 5632/5625
2
<<2 -4 -4 -12 -11 -12 -26 2 -14 -20]]
Pajara
20.343
50/49 64/63 99/98
3
<<8 1 18 20 -17 6 4 39 43 -6]]
Würschmidt
24.413
99/98 176/175 243/242
4
<<12 10 44 30 -12 36 6 74 35 -68]]
Bikleismic
29.319
225/224 243/242 4375/4356
5
<<4 9 26 10 5 30 2 35 -8 -62]]
Bunya
31.332
100/99 225/224 243/242
6
<<4 9 -8 10 5 -24 2 -44 -8 56]]
Modus
35.149
64/63 100/99 243/242
7
<<2 -4 30 22 -11 42 28 81 65 -42]]

35.315
176/175 896/891 1331/1323
8
<<40 22 192 134 -58 192 74 384 235 -288]]

36.245
3025/3024 4375/4374 6591796875/6576668672
9
<<6 5 -12 -2 -6 -36 -24 -42 -22 36]]

36.894
64/63 100/99 1331/1323
10
<<6 5 22 32 -6 18 30 37 57 14]]
Cataclysmic
39.954
99/98 176/175 2200/2187
11
<<10 14 14 8 -1 -6 -22 -7 -30 -26]]
Crepuscular
40.758
50/49 99/98 1944/1925
12
<<26 16 118 82 -35 114 40 229 135 -178]]
Quatracot
41.043
3025/3024 4375/4374 1265625/1261568
13
<<4 -8 26 10 -22 30 2 83 51 -62]]

41.459
176/175 243/242 896/891
14
<<10 -3 14 8 -28 -6 -22 41 29 -26]]

42.649
99/98 176/175 864/847
15
<<8 18 18 20 10 6 4 -9 -16 -6]]

43.923
50/49 99/98 243/242
16
<<6 5 22 -2 -6 18 -24 37 -22 -82]]

44.335
100/99 225/224 864/847
17
<<6 5 56 32 -6 72 30 116 57 -104]]

48.57
896/891 2200/2187 14700/14641
18
<<4 -8 -8 10 -22 -24 2 4 51 56]]

48.885
50/49 64/63 243/242

13-limit patent val temperaments with badness below 0.04

Listed is the wedgie and the TE badness times 1000 for 34edo patent val temperaments with badness less than 0.04.
1
<<6 5 -31 32 14 -6 -66 30 0 -86 57 14 197 154 -70]]
Countercata
20.156
325/324 352/351 385/384 625/624
2
<<6 5 3 -2 14 -6 -12 -24 0 -7 -22 14 -16 28 56]]
Keema
22.749
49/48 56/55 91/90 625/624
3
<<4 9 -15 10 -2 5 -35 2 -18 -60 -8 -38 80 50 -44]]
Monkey
28.410
100/99 105/104 144/143 243/242
4
<<4 -8 2 10 -2 -22 -8 2 -18 27 51 25 21 -13 -44]]
Anguirus
30.829
49/48 56/55 91/90 352/351
5
<<4 9 19 10 -2 5 19 2 -18 19 -8 -38 -38 -76 -44]]
Wollemia
31.219
56/55 91/90 100/99 352/351
6
<<2 13 1 22 16 16 -4 28 18 -34 6 -11 58 41 -26]]

33.196
49/48 91/90 100/99 847/845
7
<<12 10 -28 30 28 -12 -78 6 0 -93 35 28 181 182 -14]]

33.896
243/242 325/324 385/384 625/624
8
<<4 -8 -32 10 -2 -22 -62 2 -18 -52 51 25 139 113 -44]]

34.151
126/125 144/143 243/242 676/675
9
<<8 1 -13 20 -4 -17 -43 4 -36 -33 43 -13 101 37 -88]]

34.458
105/104 126/125 144/143 243/242
10
<<2 -4 -16 22 16 -11 -31 28 18 -26 65 52 117 104 -26]]

36.595
91/90 126/125 352/351 385/384
11
<<2 -4 -16 -12 -18 -11 -31 -26 -36 -26 -14 -27 22 9 -18]]

36.961
56/55 100/99 105/104 847/845
12
<<10 -3 5 8 12 -28 -20 -22 -18 20 29 39 5 15 12]]

37.270
49/48 56/55 91/90 847/845
13
<<6 5 3 32 14 -6 -12 30 0 -7 57 14 79 28 -70]]

38.951
49/48 91/90 126/125 352/351
14
<<0 0 34 0 0 0 54 0 0 79 0 0 -118 -126 0]]

39.906
100/99 144/143 243/242 625/624
15
<<10 14 22 8 12 -1 7 -22 -18 12 -30 -24 -54 -48 12]]

39.957
56/55 91/90 100/99 847/845

13-limit 34d temperaments with badness below 0.05

Listed is the wedgie and the TE badness times 1000 for 34d temperaments with badness less than 0.04.
1
<<12 10 44 30 28 -12 36 6 0 74 35 28 -68 -84 -14]]
Bikleismic
21.814
169/168 225/224 243/242 325/324
2
<<2 -4 -4 -12 -18 -11 -12 -26 -36 2 -14 -27 -20 -36 -18]]
Pajara
22.327
50/49 64/63 99/98 975/968
3
<<6 5 22 32 14 -6 18 30 0 37 57 14 14 -42 -70]]
Cataclysmic
22.555
99/98 169/168 176/175 275/273
4
<<26 16 118 82 38 -35 114 40 -36 229 135 29 -178 -330 -172]]
Quatracot
22.643
625/624 729/728 1575/1573 2200/2197
5
<<8 1 18 20 -4 -17 6 4 -36 39 43 -13 -6 -78 -88]]
Würschmidt
23.593
99/98 144/143 176/175 275/273
6
<<4 -8 26 10 -2 -22 30 2 -18 83 51 25 -62 -102 -44]]
Sruti
23.791
144/143 176/175 351/350 676/675
7
<<4 9 -8 10 -2 5 -24 2 -18 -44 -8 -38 56 24 -44]]
Modus
23.806
64/63 78/77 100/99 144/143
8
<<10 14 14 8 12 -1 -6 -22 -18 -7 -30 -24 -26 -18 12]]
Crepuscular
24.368
50/49 78/77 99/98 144/143
9
<<6 5 56 32 14 -6 72 30 0 116 57 14 -104 -168 -70]]
Metakleismic
24.371
325/324 352/351 364/363 625/624
10
<<4 9 26 10 -2 5 30 2 -18 35 -8 -38 -62 -102 -44]]
Bunya
24.886
100/99 144/143 243/242 275/273
11
<<2 -4 30 22 16 -11 42 28 18 81 65 52 -42 -66 -26]]
Srutal
25.286
169/168 176/175 325/324 364/363
12
<<10 -3 14 8 12 -28 -6 -22 -18 41 29 39 -26 -18 12]]
Amavil
25.791
78/77 99/98 144/143 176/175
13
<<6 5 -12 -2 14 -6 -36 -24 0 -42 -22 14 36 84 56]]

26.336
64/63 100/99 144/143 275/273
14
<<28 12 148 104 54 -46 156 68 -18 310 200 81 -220 -396 -198]]

27.017
676/675 3025/3024 4225/4224 4375/4374
15
<<6 5 22 -2 14 -6 18 -24 0 37 -22 14 -82 -42 56]]

27.343
78/77 100/99 144/143 676/675
16
<<2 13 30 22 16 16 42 28 18 33 6 -11 -42 -66 -26]]

28.521
100/99 169/168 225/224 275/273
17
<<2 -4 -4 -12 16 -11 -12 -26 18 2 -14 52 -20 60 100]]

28.636
50/49 64/63 99/98 144/143
18
<<4 -8 -8 10 -2 -22 -24 2 -18 4 51 25 56 24 -44]]

28.755
50/49 64/63 144/143 676/675
19
<<16 2 70 40 26 -34 66 8 -18 157 86 53 -130 -186 -58]]

29.863
243/242 351/350 676/675 4225/4224
20
<<10 -3 48 42 12 -28 48 32 -18 120 108 39 -48 -144 -114]]

31.480
176/175 351/350 676/675 1331/1323
21
<<8 1 18 20 30 -17 6 4 18 39 43 66 -6 18 30]]

31.865
78/77 99/98 243/242 325/324
22
<<8 18 18 20 30 10 6 4 18 -9 -16 3 -6 18 30]]

31.948
50/49 78/77 99/98 243/242
23
<<10 14 48 42 12 -1 48 32 -18 72 49 -24 -48 -144 -114]]

31.980
225/224 275/273 325/324 1573/1568
24
<<14 6 40 18 10 -23 24 -20 -36 76 21 1 -88 -120 -32]]

32.426
144/143 225/224 351/350 364/363
25
<<0 17 0 0 0 27 0 0 0 -48 -59 -63 0 0 0]]

32.554
64/63 78/77 99/98 144/143
26
<<14 6 74 52 10 -23 78 34 -36 155 100 1 -110 -246 -158]]

33.169
352/351 625/624 729/728 1575/1573
27
<<20 11 62 50 24 -29 42 10 -36 113 78 15 -74 -162 -102]]

33.418
225/224 243/242 351/350 1188/1183
28
<<22 7 92 72 40 -40 84 38 -18 194 143 67 -116 -228 -128]]

34.696
351/350 676/675 1573/1568 4225/4224
29
<<2 13 -4 -12 16 16 -12 -26 18 -46 -73 -11 -20 60 100]]

35.216
64/63 99/98 144/143 275/273
30
<<14 6 6 18 10 -23 -30 -20 -36 -3 21 1 30 6 -32]]

35.525
50/49 78/77 144/143 176/175
31
<<2 13 -4 22 16 16 -12 28 18 -46 6 -11 76 60 -26]]

36.455
64/63 78/77 100/99 676/675
32
<<4 9 26 10 32 5 30 2 36 35 -8 41 -62 -6 74]]

37.128
78/77 100/99 225/224 243/242
33
<<12 10 78 64 28 -12 90 60 0 153 114 28 -90 -210 -140]]

37.139
325/324 352/351 625/624 1331/1323
34
<<4 -8 -8 -24 -2 -22 -24 -52 -18 4 -28 25 -40 24 82]]

37.427
50/49 64/63 99/98 169/168
35
<<8 1 -16 -14 -4 -17 -48 -50 -36 -40 -36 -13 16 48 38]]

37.834
64/63 100/99 169/168 275/273
36
<<16 19 36 40 26 -7 12 8 -18 30 27 -10 -12 -60 -58]]

38.314
99/98 169/168 243/242 275/273
37
<<12 10 10 30 28 -12 -18 6 0 -5 35 28 50 42 -14]]

38.772
50/49 78/77 176/175 243/242
38
<<18 15 100 62 42 -18 108 36 0 190 92 42 -172 -252 -84]]

38.896
325/324 364/363 625/624 19773/19712
39
<<2 -4 -4 22 16 -11 -12 28 18 2 65 52 76 60 -26]]

39.525
50/49 64/63 78/77 325/324
40
<<0 0 34 0 0 0 54 0 0 79 0 0 -118 -126 0]]

39.906
100/99 144/143 243/242 625/624